20321100011331 has 128 divisors (see below), whose sum is σ = 35650018252800. Its totient is φ = 11201646919680.

The previous prime is 20321100011297. The next prime is 20321100011347. The reversal of 20321100011331 is 13311000112302.

20321100011331 is a `hidden beast` number, since 2 + 0 + 321 + 1 + 0 + 0 + 0 + 11 + 331 = 666.

It is not a de Polignac number, because 20321100011331 - 2¹⁰ = 20321100010307 is a prime.

It is a super-3 number, since 3×20321100011331³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20321100015331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131018755 + ... + 131173763.

It is an arithmetic number, because the mean of its divisors is an integer number (278515767600).

Almost surely, 2^{20321100011331} is an apocalyptic number.

20321100011331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20321100011331 is a deficient number, since it is larger than the sum of its proper divisors (15328918241469).

20321100011331 is a wasteful number, since it uses less digits than its factorization.

20321100011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155306 (or 155300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20321100011331 its reverse (13311000112302), we get a palindrome (33632100123633).

The spelling of 20321100011331 in words is "twenty trillion, three hundred twenty-one billion, one hundred million, eleven thousand, three hundred thirty-one".